I have the following information: \[n=p^2q\] \[k \ge 4\] \[0

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I have the following information: \[n=p^2q\] \[k \ge 4\] \[0

Mathematics
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i can't even read this what class?
i made a mistake \[\sum_{i=0}^{k}\left(\begin{matrix} k \\ i \end{matrix}\right) x^{k-i}(ypq)^i \equiv x^k+kypqx^{k-1}\] I'm trying to follow a proof but i don't know how they got from that one part to the other part
yeah well i cannot read what it says. good luck

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http://www.cacr.math.uwaterloo.ca/hac/ its in chapter 11 on page 473 at the bottom
;p;
lol*
i wonder if james or zarkon could do it
oh its zarkon lol
good luck!
ask me next semester when I've taken cryptography, and I might be able to help you, but right now, I haven't got a clue.
only the first two values of i will matter (i=0,1) for i>1 you have a \((pq)^2\) part which is \(p^2qq=nq\) which is zero nod n
i don't see this (pq)^2 part
george what kind of math have you had?
\[{k\choose i}x^{k-1}(ypq)^i\] for \(i\ge2\) \[{k\choose i}x^{k-1}(ypq)^i={k\choose i}x^{k-1}(y^i)(pq)^{i-2}p^2qq\] \[=\left({k\choose i}x^{k-1}(y^i)(pq)^{i-2}q\right)\times n\]
ok i see
you are so smart to notice the first two values will only matter since n mod n is like totally 0 thanks zarkon
I've only had a year and a half of college level math so far, so that means, calc 1-3, lin. algebra, abstract algebra, and analysis
no problem :)
is there any number theory in abstract algebra i can't remember
not very much. I'm taking intro to number theory, and cryptography next semester.
i like cryptography
number theory is so cool and interesting to me although my skills suck right now
It certainly sounds fun. I'm definitely enjoying my abstract algebra class right now. We had the barest hints of some number theory in discrete math so I'm not completely helpless.
i like these math puzzles
differential equations is not as fun to me but i do like the remedial kind lol
zarkon do you think there is hope for my brain?
From my experience, I don't like differential equations very much. Granted, I've never had a full course in it, but it just isn't my thing.
there is!
i feel like i'm trapped inside with an apes' brain
A very smart ape ;)
thanks i take that as a compliment
If you want a fun class...Take a course in measure theoretic probability theory.
he says that because he is a stat nerd
I don't think my school has that class...
my doesn't either
or a class in stochastic processes
sometimes it will fall under the title of applied probability
i think they might have that
i always had a 10 foot pole when it came to statistics i only had to put it down when the course in stat was required
I'm personally more of an algebra person. Stats was interesting at first, but then it got boring.
There are some cool things though in stat i do admit
There is plenty of really nice mathematics in statistics
It was the same with calculus for me. Interesting at first, and then it just stopped interesting me.
A lot of multivariate calculus and matrix theory
zarkon can i ask another question
this is my last problem with this proof...
ok
omg never i got it lol
i mean nvm
i was typing it all out then i realized oh yeah lol
ok :)
ok i feel good about this proof thanks for all your help
good...no problem

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